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Finding the Fourth Proportional to 141,893.56, 195,847.23 and 85,294

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Solution

The fourth proportional to 141,893.56, 195,847.23 and 85,294 is: 117,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,893.56 : 195,847.23 = 85,294 : x
  2. Step 2: Convert to fraction form
    141,893.56/195,847.23 = 85,294/x
  3. Step 3: Cross multiply
    141,893.56x = 195,847.23 × 85,294
  4. Step 4: Simplify right side
    141,893.56x = 16,704,593,635.62
  5. Step 5: Solve for x
    x = 16,704,593,635.62/141,893.56
  6. Step 6: Final answer
    x = 117,726.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.